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Abstract:
Seymour's Second Neighborhood Conjecture(SSNC) asserts that there always exists a vertex v such that the cardinality of its second out-neighborhood is at least as large as its out-neighborhood in every finite oriented graph. For t≥s≥0, an (s,t)-semi-cycle is an oriented cycle obtained from a directed cycle of length t by reversing exactly s continuous arcs. In this paper, we verify that any oriented graph without (2,8)-semi-cycle satisfies SSNC. Consequently, we prove that SSNC holds for every oriented graph whose underlying graph has no cycle of length 8. © 2023 Elsevier B.V.
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Discrete Applied Mathematics
ISSN: 0166-218X
Year: 2023
Volume: 337
Page: 272-277
1 . 0
JCR@2023
1 . 0 0 0
JCR@2023
ESI HC Threshold:35
JCR Journal Grade:3
CAS Journal Grade:3
Cited Count:
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 0
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